Local linear instabilities in entropy-stable discretizations cause negligible practical errors because their growth is small, oscillatory, boundary-localized, and suppressible, with no direct extension to nonlinear two-point-flux cases.
SN Partial Differential Equa- tions and Applications1(2), 9 (2020)
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An extension of ES-OEDG to curvilinear AMR grids introduces entropy-stable and mortar-based fluxes plus positivity preservation that maintains admissibility under forward Euler time stepping.
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On the Practical Impact of Local Linear Instabilities in Entropy-Stable Schemes
Local linear instabilities in entropy-stable discretizations cause negligible practical errors because their growth is small, oscillatory, boundary-localized, and suppressible, with no direct extension to nonlinear two-point-flux cases.
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Positivity-Preserving and Entropy-Stable Oscillation-Eliminating DGSEM for the Compressible Euler Equations on Curvilinear Meshes with Adaptive Mesh Refinement
An extension of ES-OEDG to curvilinear AMR grids introduces entropy-stable and mortar-based fluxes plus positivity preservation that maintains admissibility under forward Euler time stepping.